4.
A machine makes a staple from 20mm of wire. How many
staples will it make from 50cm of wire?

Answer:

x=2.5

Step-by-step explanation:

so you need to divided five by two the easy you get the answer 2.5.

The final answer for the surface area of the prism is 32 m^2 + 16h m^2.

To find the surface area of the prism, we need to calculate the area of each face and sum them up.

The prism has two identical square faces and four rectangular faces. The square face has a side length of 4 m. The area of one square face is given by:

Area of square face = side length^2 = 4^2 = 16 m^2

Since there are two square faces, the total area of the square faces is:

Total area of square faces = \(2 * 16 = 32 m^2\)

The rectangular faces have a length equal to the side length of the square face (4 m) and a width equal to the height of the prism. Let's assume the height of the prism is h. The area of one rectangular face is given by:

Area of rectangular face = length * width = \(4 * h = 4h m^2\)

Since there are four rectangular faces, the total area of the rectangular faces is:

Total area of rectangular faces = \(4 * 4h = 16h m^2\)

Therefore, the surface area of the prism is the sum of the areas of the square and rectangular faces:

Surface area of prism = Total area of square faces + Total area of rectangular faces

                          = \(32 m^2 + 16h m^2\)

                          = \(32 m^2 + 16h m^2\)

The answer for the surface area of the prism is 32 m^2 + 16h m^2.

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The solution to the equation sqrt 2-3x / sqrt 4x = 2 is x = -2/3.

To solve the equation, we must first clear the denominators and simplify the equation. We can do this by multiplying both sides by sqrt(4x) and then squaring both sides. This gives us:
sqrt 2-3x = 4sqrt x
2 - 6x + 9x² = 16x
9x² - 22x + 2 = 0
Using the quadratic formula, we can find that x = (-b ± sqrt(b² - 4ac)) / 2a. Plugging in a = 9, b = -22, and c = 2, we get:
x = (-(-22) ± sqrt((-22)² - 4(9)(2))) / 2(9)
x = (22 ± sqrt(352)) / 18
x = (22 ± 4sqrt22) / 18
Simplifying this expression, we get:
x = (11 ± 2sqrt22) / 9
Therefore, the solution to the equation is x = -2/3.
To solve the equation sqrt 2-3x / sqrt 4x = 2, we must clear the denominators and simplify the equation. This involves multiplying both sides by sqrt(4x) and then squaring both sides.

After simplifying, we end up with a quadratic equation. Using the quadratic formula, we can find that the solutions are x = (11 ± 2sqrt22) / 9.

However, we must check that these solutions do not result in a division by zero, as the original equation involves square roots. It turns out that the only valid solution is x = -2/3.

Therefore, this is the solution to the equation.

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Step-by-step explanation:

a) 11*5=55

15*5=75

8*5+5=45

b) No, because (55+75+45=175°) and the perimeter of a triangle is 180°

The values of are;

1. angle WXU = 104°

2. angle XUV = 109°

A cyclic quadrilateral is a quadrilateral which has all its four vertices lying on a circle. It is also sometimes called inscribed quadrilateral. The circle which consists of all the vertices of any polygon on its circumference is known as the circumcircle or circumscribed circle.

The sum of opposite in angle Ina cyclic quadrilateral is 180°

angle v = 152/2 = 76°

therefore angle XWV = 180-(76) = 104°

angle XUV = 180-71 = 109°

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Answer:Natural numbers Whole numbers Integers Rational numbers Irrational numbers Real numbers.

The amount Reiko invested in x shares is 1,700,000 based on 8% annual dividend

How do represent the amounts invested in each share?

The fact that Reiko invested 200,000 more on x shares means that if we assume that he invested Z on y shares then the amount invested in x shares is Z+200000

return on x shares=(Z+200,000)*8%

return on x shares=0.08Z+16000

return on y shares=Z*9%=0.09Z

total return=0.08Z+16000+0.09Z

total return=0.17Z+16000

total earnings=271000

271000=0.17Z+16000

271000-16000=0.17Z

255000=0.17Z

Z=255000/0.17

Z=1,500,000

Z+200,000=1,500,000+200,000=1,700,000

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The algebraic property used for the expansion of the algebraic expression is; Distributive Property.

There are different algebra properties such as Associative property, Identity Property, Inverse property, Distributive property, commutative property.

The examples of these algebra properties are;

1) Associative Property; a + ( b + c ) = ( a + b ) + c

a( b c ) = ( a b ) c

2) Commutative property; a + b = b + a

3) Identity Property;

a + 0 = a and a ⋅ 1 = a

4) Inverse Property;

a + ( − a ) = 0 and a ⋅ 1 a = 1

5) Distributive Property;
a ( b + c ) = a b + a c

We are given the expression;

15x - 20xy as 5x(3 - 4xy)

From the earlier properties explained, this is clearly an example of distributive property.

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The values of x for the tangent segments to the circles are: (25). x = 2 and (26). x = 4

A theorem of tangents to a circle states that if from one exterior point, two tangents are drawn to a circle then they have equal tangent segments.

(25). 2x - 1 = x + 1 {equal tangent segments}

2x - x = 1 + 1 {collect like terms}

x = 2

(26). 2x - 4 = x {equal tangent segments}

2x - x = 4 {collect like terms}

x = 4

Therefore, the values of x for the tangent segments to the circles are: (25). x = 2 and (26). x = 4

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The area of rectangular foundation is 320 feet²

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies. Imagine that your square is made up of smaller unit squares.

The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies.

Given,

area = length * width

= 32ft * 10ft

=320 feet²

Therefore the area of rectangular foundation is 320 feet²

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The values of x and y are 20 and 12.

The values of x and y are -3 and 2.

We have,

In a parallelogram,

- Opposite sides are congruent:

The opposite sides of a parallelogram have equal lengths.

- Opposite angles are congruent:

The opposite angles of a parallelogram have equal

Now,

a)

Opposite angles are congruent:

So,

5x + 29 = 7x - 11

29 + 11 = 7x - 5x

40 = 2x

2x = 40

x = 40/2

x = 20

And,

3y + 15 = 5y - 9

15 + 9 = 5y - 3y

24 = 2y

y = 24/2

y = 12

b)

Opposite sides are congruent:

So,

-6x = -4x + 6

-6x + 4x = 6

-2x = 6

x = -3

And,

7y + 3 = 12y - 7

12y - 7y = 3 + 7

5y = 10

y = 2

Thus,

The values of x and y are 20 and 12.

The values of x and y are -3 and 2.

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Answer: B

Step-by-step explanation:

\(\tan \theta=10 \implies \sin \theta=\frac{10}{\sqrt{101}}, \cos \theta=\frac{1}{\sqrt{101}}\)

\(\sin 2\theta=2\sin \theta \cos \theta=2 \left(\frac{10}{\sqrt{101}} \right)\left(\frac{1}{\sqrt{101}} \right)=\frac{20}{101}\)

\(\cos 2\theta=2\cos^2 \theta-1=2 \left(\frac{1}{\sqrt{101}} \right)^2 -1=-\frac{99}{101}\)

\(\therefore \sin 2\theta+\cos 2\theta=\frac{20}[101}-\frac{99}{101}=-\frac{79}{101}\)

Answer:

below

Step-by-step explanation:

below

hoped this help pls give brainliest

Answer:

none of em. Cause they either need to have the same number on each side, or like for example the variables and coefficient need to be same like 6x = 6x. but none of em seem to match. You probably didnt write it correctly

Answer:

Step-by-step explanation:

The two angles must add to 180

(4x-2)+(3x+14)=180

7x+12=180

7x=168

x=24

Answer:

Step-by-step explanation:

.................8908989

Answer:

corporation C owns the most land

Step-by-step explanation:

hope it helps

The round trip distance in miles from city 1 to city 3 is given as follows:

30 miles.

The matrix corresponding to the distances between each of the cities is given by the image presented at the end of the answer.

Looking at row 1, column 3, we have that the distance from city 1 to city 3 is of 15 miles.

For the round trip distance, we have to go back from city 3 to city 1, more 15 miles, hence the distance is given as follows:

2 x 15 = 30 miles.

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Answer: \(k < 8.48\)

Step-by-step explanation:

\(\frac{k}{-1.6} > -5.3\\\\k < (-5.3)(-1.6)\\\\k < 8.48\)

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Rational Function: any function that is found by a rational fraction.

Its form: \(\frac{1}{x}\)

Finding Zeros of  a Rational Function:

\(f(x)=\frac{(x-3)(x+2)}{(x-5)(x-3)}\)

   2. Find restrictions by equating the denominator to 0

\(x-5=0\)                \(x-3=0\)      when x=-5 and 3, the function is undefined

\(x=-5\)                   \(x=3\)

  3. Set the numerator equal to zero

\(x-3=0\)              \(x+2=0\)  

\(x=3\)                    \(x=-2\)

Be careful - since we have x-3 on both the numerator and denominator the graph will not intersect the x-axis at that point. This is what is called a removable discontinuity.

Therefore, the only zero occurs at (-2,0)

Answer:

d = h/1.43

Step-by-step explanation:

Given

To Find

Solving

⇒ tan 55° = h/d

⇒ 1.43 (approx.) = h/d

⇒ d = h/1.43

[∴ Input the value of height in this formula if it is given, and you should be able to get your answer.]

Answer:

823543

Step-by-step explanation:

\(7^3\cdot \:7^6\cdot \:7^{-2}\)

\(\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\)

\(7^3\cdot \:7^6\cdot \:7^{-2}=7^{3+6-2}\)

\(=7^{3+6-2}\)

\(\mathrm{Add/Subtract\:the\:numbers:}\:3+6-2=7\)

\(=7^7\)

\(7^7=823543\)

Answer = 823543

~Learn with Lenvy~

Parallel lines have the same slopes and different y-intercepts

We will find the slope of the parallel line, then take it as a slope of line b

The rule of the slope is

Where (x1, y1) and (x2, y2) are two points lie on the line

Since the parallel line passes through the points (1, 5), (2, -7), then

x1 = 1 and x2 = 2

y1 = 5 and y2 = -7

Substitute them in the rule above

Since parallel lines have the same slope, then the slope of line b is -12

Since the slope-intercept form of the linear equation is

Then the equation of line b is

To find c substitute x and y by the coordinates of any point lies on line b

Since line b is passed through the point (1, 15), then

x = 1 and y = 15

Add 12 to both sides to find c

Then the equation of line b is

Answer:

There are 2 ways, since we'd chosen 2 fruits

PROBABILITY:

(\(\frac{2}{10}\) = \(\frac{1}{5}\)) or \(\frac{1}{10}\)

METHOD:

In the 2 fruits we took both of them might be pears either maybe one of them can   be a pear. The same is possible with the other fruit.

PLEASE DO MARK MY ANSWER AS THE BRAINLIEST..

<HOPE IT HELPS>

Answer:

1) y = 2(x - 2)² - 5

2) y = -(x + 4)²  / 2 + 3

a. Assuming no additional restrictions, there are  800 possible three-digit area codes.

b. Considering ERCs, there are  80 ERCs.

c. For the seven digits after the area code, there are \(8 \times 10^6 = 8,000,000\)  possible seven-digit phone numbers.

d. Assuming only the 0 and 1 restrictions from parts a and c, the number of possible ten-digit phone numbers is 800 \(\times\) 8,000,000 = 6,400,000,000.

a. For three-digit area codes, the first digit cannot be 0 or 1.

Assuming no additional restrictions, there are 8 possibilities for the first digit (2-9) and 10 possibilities for each of the remaining two digits (0-9). Therefore, the total number of three-digit area codes possible under this plan is \(8 \times 10 \times 10 = 800.\)

b. For an ERC (Easily Recognizable Code), the second and third digits of the area code must be the same, and the first digit cannot be 0 or 1. There are 8 possibilities for the first digit (2-9) and 10 possibilities for the third digit (0-9).

Since the second digit must be the same as the third digit, there is only 1 possibility.

Therefore, the total number of ERCs is \(8 \times 1 \times 10 = 80.\)

c. For the seven digits after the area code, the first digit of the three-digit local prefix cannot be 0 or 1.

There are 8 possibilities for the first digit (2-9) and 10 possibilities for each of the remaining six digits (0-9).

Therefore, the total number of seven-digit phone numbers possible is 8 * \(10\times 10 \times 10 \times 10 \times 10 \times 10 = 8,000,000.\)

d. Assuming only the 0 and 1 restrictions from parts a and c, the number of possible ten-digit phone numbers can be calculated by multiplying the number of possibilities for each digit position.

For the area code (part a), there are 800 possibilities.

For the seven digits after the area code (part c), there are 8,000,000 possibilities.

Therefore, the total number of ten-digit phone numbers possible is 800 * 8,000,000 = 6,400,000,000.

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